λ
Harmonic Matrix

240,146

2 × 167 × 719
Deficient Even Composite

240,146 has digital root 8. The neighboring primes are 240139 and 240151; its proper-divisor sum differs from the starting integer by -117,412.

Prime Factor Structure

Factorization String 2 × 167 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 362,880
Proper Divisor Sum 122,734
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #240139 ← → #240151

Radix Representation

Decimal 240146
Binary 111010101000010010 (18 bits)
Octal 0o725022
Hexadecimal 0x3AA12

Divisor Catalog (8)

1 2 167 334 719 1,438 120,073 240,146

Collatz Trajectory (119 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

240,146 120,073 360,220 180,110 90,055 270,166 135,083 405,250 202,625 607,876 303,938 151,969 455,908 227,954 113,977 341,932 170,966 85,483 256,450 128,225 384,676 192,338 96,169 288,508 144,254 72,127 216,382 108,191 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634 1,039,817 3,119,452 1,559,726 779,863 2,339,590 1,169,795 3,509,386 1,754,693 5,264,080 2,632,040 1,316,020 658,010 329,005

More profiles

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